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106700815081 = 7371792301521
BaseRepresentation
bin110001101011111011…
…1010011101011101001
3101012102011102000111001
41203113313103223221
53222010402040311
6121003452435001
710465100651350
oct1432767235351
9335364360431
10106700815081
1141284912703
1218819a78a61
13a0a5b41893
145242d7a997
152b976564c1
hex18d7dd3ae9

106700815081 has 16 divisors (see below), whose sum is σ = 125939283840. Its totient is φ = 88488840960.

The previous prime is 106700815063. The next prime is 106700815139. The reversal of 106700815081 is 180518007601.

It is a cyclic number.

It is not a de Polignac number, because 106700815081 - 27 = 106700814953 is a prime.

It is a super-2 number, since 2×1067008150812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106700815081.

It is not an unprimeable number, because it can be changed into a prime (106700815031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104400 + ... + 1197121.

It is an arithmetic number, because the mean of its divisors is an integer number (7871205240).

Almost surely, 2106700815081 is an apocalyptic number.

It is an amenable number.

106700815081 is a deficient number, since it is larger than the sum of its proper divisors (19238468759).

106700815081 is a wasteful number, since it uses less digits than its factorization.

106700815081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301744.

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 106700815081 in words is "one hundred six billion, seven hundred million, eight hundred fifteen thousand, eighty-one".

Divisors: 1 7 37 179 259 1253 6623 46361 2301521 16110647 85156277 411972259 596093939 2883805813 15242973583 106700815081