106100451867 has 32 divisors (see below), whose sum is σ = 153429230592. Its totient is φ = 64958068224.

The previous prime is 106100451767. The next prime is 106100451923. The reversal of 106100451867 is 768154001601.

It is not a de Polignac number, because 106100451867 - 2¹⁶ = 106100386331 is a prime.

It is a super-2 number, since 2×106100451867² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106100451767) 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, 2162158 + ... + 2210684.

It is an arithmetic number, because the mean of its divisors is an integer number (4794663456).

Almost surely, 2^106100451867 is an apocalyptic number.

106100451867 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106100451867 is a deficient number, since it is larger than the sum of its proper divisors (47328778725).

106100451867 is a wasteful number, since it uses less digits than its factorization.

106100451867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49587.

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 106100451867 in words is "one hundred six billion, one hundred million, four hundred fifty-one thousand, eight hundred sixty-seven".