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106162402057157 = 3112775953450487
BaseRepresentation
bin11000001000110111011100…
…010000110101101111000101
3111220220000201022222101010202
4120020313130100311233011
5102403331044411312112
61013442200105300245
731234660201311635
oct3010673420655705
9456800638871122
10106162402057157
1130910249349896
12baa6b99794685
1347310c129b744
141c3040554c6c5
15c417db0256c2
hex608ddc435bc5

106162402057157 has 16 divisors (see below), whose sum is σ = 109691478254592. Its totient is φ = 102639883484160.

The previous prime is 106162402057111. The next prime is 106162402057177. The reversal of 106162402057157 is 751750204261601.

It is not a de Polignac number, because 106162402057157 - 240 = 105062890429381 is a prime.

It is a super-2 number, since 2×1061624020571572 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106162402057177) 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, 235436168 + ... + 235886654.

It is an arithmetic number, because the mean of its divisors is an integer number (6855717390912).

Almost surely, 2106162402057157 is an apocalyptic number.

It is an amenable number.

106162402057157 is a deficient number, since it is larger than the sum of its proper divisors (3529076197435).

106162402057157 is a wasteful number, since it uses less digits than its factorization.

106162402057157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457748.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 106162402057157 in words is "one hundred six trillion, one hundred sixty-two billion, four hundred two million, fifty-seven thousand, one hundred fifty-seven".

Divisors: 1 31 1277 5953 39587 184543 450487 7601981 13965097 235661411 575271899 2681749111 17833428869 83134222441 3424593614747 106162402057157