106001011500600 has 96 divisors (see below), whose sum is σ = 328610663821440. Its totient is φ = 28266288816000.

The previous prime is 106001011500599. The next prime is 106001011500613. The reversal of 106001011500600 is 6005110100601.

It is a super-2 number, since 2×106001011500600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24476965 + ... + 28480235.

It is an arithmetic number, because the mean of its divisors is an integer number (3423027748140).

Almost surely, 2^{106001011500600} is an apocalyptic number.

106001011500600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106001011500600 is an abundant number, since it is smaller than the sum of its proper divisors (222609652320840).

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

106001011500600 is a wasteful number, since it uses less digits than its factorization.

106001011500600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047421 (or 4047412 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 106001011500600 in words is "one hundred six trillion, one billion, eleven million, five hundred thousand, six hundred".