106037317512 has 384 divisors, whose sum is σ = 367513200000. Its totient is φ = 28157455872.

The previous prime is 106037317411. The next prime is 106037317537. The reversal of 106037317512 is 215713730601.

106037317512 is a `hidden beast` number, since 1 + 0 + 60 + 3 + 73 + 17 + 512 = 666.

It is a super-2 number, since 2×106037317512² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10653114 + ... + 10663062.

It is an arithmetic number, because the mean of its divisors is an integer number (957065625).

Almost surely, 2^106037317512 is an apocalyptic number.

106037317512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106037317512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183756600000).

106037317512 is an abundant number, since it is smaller than the sum of its proper divisors (261475882488).

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

106037317512 is a wasteful number, since it uses less digits than its factorization.

106037317512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 106037317512 in words is "one hundred six billion, thirty-seven million, three hundred seventeen thousand, five hundred twelve".