107018100468 has 72 divisors (see below), whose sum is σ = 273402537408. Its totient is φ = 35293456128.

The previous prime is 107018100461. The next prime is 107018100487. The reversal of 107018100468 is 864001810701.

107018100468 is a `hidden beast` number, since 10 + 7 + 0 + 181 + 0 + 0 + 468 = 666.

It is a super-2 number, since 2×107018100468² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107018100461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2266921 + ... + 2313647.

It is an arithmetic number, because the mean of its divisors is an integer number (3797257464).

Almost surely, 2^107018100468 is an apocalyptic number.

107018100468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107018100468 is an abundant number, since it is smaller than the sum of its proper divisors (166384436940).

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

107018100468 is a wasteful number, since it uses less digits than its factorization.

107018100468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47413 (or 47408 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 107018100468 in words is "one hundred seven billion, eighteen million, one hundred thousand, four hundred sixty-eight".