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106311796470 = 232511107385653
BaseRepresentation
bin110001100000010101…
…1010100011011110110
3101011102001101211021100
41203000223110123312
53220211304441340
6120501114430530
710452335234325
oct1430053243366
9334361354240
10106311796470
11410a5268220
121872b732446
13a043376759
1452074340bc
152b73411830
hex18c0ad46f6

106311796470 has 48 divisors (see below), whose sum is σ = 301538916432. Its totient is φ = 25772556480.

The previous prime is 106311796429. The next prime is 106311796501. The reversal of 106311796470 is 74697113601.

106311796470 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 179 + 6 + 470 = 666.

It is a super-2 number, since 2×1063117964702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53691837 + ... + 53693816.

It is an arithmetic number, because the mean of its divisors is an integer number (6282060759).

Almost surely, 2106311796470 is an apocalyptic number.

106311796470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106311796470 is an abundant number, since it is smaller than the sum of its proper divisors (195227119962).

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

106311796470 is a wasteful number, since it uses less digits than its factorization.

106311796470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107385677 (or 107385674 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 106311796470 in words is "one hundred six billion, three hundred eleven million, seven hundred ninety-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 107385653 214771306 322156959 536928265 644313918 966470877 1073856530 1181242183 1610784795 1932941754 2362484366 3221569590 3543726549 4832354385 5906210915 7087453098 9664708770 10631179647 11812421830 17718632745 21262359294 35437265490 53155898235 106311796470