106100945574 has 24 divisors (see below), whose sum is σ = 229780748232. Its totient is φ = 32646444480.

The previous prime is 106100945563. The next prime is 106100945591. The reversal of 106100945574 is 475549001601.

It is a super-2 number, since 2×106100945574² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52317007 + ... + 52319034.

It is an arithmetic number, because the mean of its divisors is an integer number (9574197843).

Almost surely, 2^106100945574 is an apocalyptic number.

106100945574 is an abundant number, since it is smaller than the sum of its proper divisors (123679802658).

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

106100945574 is a wasteful number, since it uses less digits than its factorization.

106100945574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104636072 (or 104636059 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 106100945574 in words is "one hundred six billion, one hundred million, nine hundred forty-five thousand, five hundred seventy-four".