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106263498957 = 3711460015147
BaseRepresentation
bin110001011110111001…
…1000101000011001101
3101011021200112001112120
41202331303011003031
53220111423431312
6120452231323153
710451210560260
oct1427563050315
9334250461476
10106263498957
114107aa7a620
12187175204b9
13a036366245
145200c60cd7
152b6e07128c
hex18bdcc50cd

106263498957 has 16 divisors (see below), whose sum is σ = 176645816832. Its totient is φ = 55201817520.

The previous prime is 106263498941. The next prime is 106263498977. The reversal of 106263498957 is 759894362601.

It is not a de Polignac number, because 106263498957 - 24 = 106263498941 is a prime.

It is a super-2 number, since 2×1062634989572 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106263498957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106263498977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230007343 + ... + 230007804.

It is an arithmetic number, because the mean of its divisors is an integer number (11040363552).

It is a 1-persistent number, because it is pandigital, but 2⋅106263498957 = 212526997914 is not.

Almost surely, 2106263498957 is an apocalyptic number.

It is an amenable number.

106263498957 is a deficient number, since it is larger than the sum of its proper divisors (70382317875).

106263498957 is a wasteful number, since it uses less digits than its factorization.

106263498957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460015168.

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 106263498957 in words is "one hundred six billion, two hundred sixty-three million, four hundred ninety-eight thousand, nine hundred fifty-seven".

Divisors: 1 3 7 11 21 33 77 231 460015147 1380045441 3220106029 5060166617 9660318087 15180499851 35421166319 106263498957