106010000502864 has 80 divisors (see below), whose sum is σ = 274230565364544. Its totient is φ = 35288748518400.

The previous prime is 106010000502827. The next prime is 106010000502869. The reversal of 106010000502864 is 468205000010601.

It is a super-2 number, since 2×106010000502864² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010000502869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182403062 + ... + 1182492714.

Almost surely, 2^{106010000502864} is an apocalyptic number.

It is an amenable number.

106010000502864 is an abundant number, since it is smaller than the sum of its proper divisors (168220564861680).

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

106010000502864 is a wasteful number, since it uses less digits than its factorization.

106010000502864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122796 (or 122790 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 106010000502864 in words is "one hundred six trillion, ten billion, five hundred two thousand, eight hundred sixty-four".