105100248638770 has 64 divisors (see below), whose sum is σ = 236044036058112. Its totient is φ = 32733144216000.

The previous prime is 105100248638753. The next prime is 105100248638773. The reversal of 105100248638770 is 77836842001501.

It is a super-2 number, since 2×105100248638770² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105100248638773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51869536 + ... + 53857675.

It is an arithmetic number, because the mean of its divisors is an integer number (3688188063408).

Almost surely, 2^{105100248638770} is an apocalyptic number.

105100248638770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105100248638770 is an abundant number, since it is smaller than the sum of its proper divisors (130943787419342).

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

105100248638770 is a wasteful number, since it uses less digits than its factorization.

105100248638770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105728527.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 105100248638770 in words is "one hundred five trillion, one hundred billion, two hundred forty-eight million, six hundred thirty-eight thousand, seven hundred seventy".