100105061049990 has 96 divisors (see below), whose sum is σ = 265705309280736. Its totient is φ = 26141394977280.

The previous prime is 100105061049989. The next prime is 100105061050019. The reversal of 100105061049990 is 99940160501001.

100105061049990 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 506 + 10 + 49 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38916927 + ... + 41409386.

It is an arithmetic number, because the mean of its divisors is an integer number (2767763638341).

Almost surely, 2^{100105061049990} is an apocalyptic number.

100105061049990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105061049990 is an abundant number, since it is smaller than the sum of its proper divisors (165600248230746).

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

100105061049990 is a wasteful number, since it uses less digits than its factorization.

100105061049990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80326614 (or 80326611 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 100105061049990 in words is "one hundred trillion, one hundred five billion, sixty-one million, forty-nine thousand, nine hundred ninety".