105061233690 has 144 divisors (see below), whose sum is σ = 336448435752. Its totient is φ = 22601392128.

The previous prime is 105061233677. The next prime is 105061233709. The reversal of 105061233690 is 96332160501.

105061233690 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 612 + 3 + 36 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99662070249 + 5399163441 = 315693^2 + 73479^2 .

It is a super-2 number, since 2×105061233690² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625719 + ... + 775658.

Almost surely, 2^105061233690 is an apocalyptic number.

105061233690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105061233690 is an abundant number, since it is smaller than the sum of its proper divisors (231387202062).

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

105061233690 is a wasteful number, since it uses less digits than its factorization.

105061233690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401421 (or 1401411 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 105061233690 in words is "one hundred five billion, sixty-one million, two hundred thirty-three thousand, six hundred ninety".