105741457136 has 40 divisors (see below), whose sum is σ = 234181496544. Its totient is φ = 45310083840.

The previous prime is 105741457127. The next prime is 105741457163. The reversal of 105741457136 is 631754147501.

It is a super-2 number, since 2×105741457136² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609926 + ... + 763866.

Almost surely, 2^105741457136 is an apocalyptic number.

105741457136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105741457136 is an abundant number, since it is smaller than the sum of its proper divisors (128440039408).

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

105741457136 is a wasteful number, since it uses less digits than its factorization.

105741457136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160089 (or 160083 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 105741457136 in words is "one hundred five billion, seven hundred forty-one million, four hundred fifty-seven thousand, one hundred thirty-six".