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106490397168 = 24331012440649
BaseRepresentation
bin110001100101101010…
…0101000000111110000
3101011212111110200101000
41203023110220013300
53221043020202133
6120530534442000
710456634304141
oct1431324500760
9334774420330
10106490397168
1141187064601
121877b503300
13a07137a73c
145223045ac8
152b83e40413
hex18cb5281f0

106490397168 has 80 divisors (see below), whose sum is σ = 308693412000. Its totient is φ = 35145331200.

The previous prime is 106490397163. The next prime is 106490397173. The reversal of 106490397168 is 861793094601.

106490397168 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 90 + 397 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (106490397163) and next prime (106490397173).

It is a super-2 number, since 2×1064903971682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106490397161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176693 + ... + 1263956.

It is an arithmetic number, because the mean of its divisors is an integer number (3858667650).

Almost surely, 2106490397168 is an apocalyptic number.

106490397168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106490397168 is an abundant number, since it is smaller than the sum of its proper divisors (202203014832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106490397168 is a wasteful number, since it uses less digits than its factorization.

106490397168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440767 (or 2440755 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 106490397168 in words is "one hundred six billion, four hundred ninety million, three hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 7272 10908 14544 21816 43632 2440649 4881298 7321947 9762596 14643894 19525192 21965841 29287788 39050384 43931682 58575576 65897523 87863364 117151152 131795046 175726728 246505549 263590092 351453456 493011098 527180184 739516647 986022196 1054360368 1479033294 1972044392 2218549941 2958066588 3944088784 4437099882 5916133176 6655649823 8874199764 11832266352 13311299646 17748399528 26622599292 35496799056 53245198584 106490397168