106106637312 has 704 divisors, whose sum is σ = 356551372800. Its totient is φ = 30948065280.

The previous prime is 106106637257. The next prime is 106106637319. The reversal of 106106637312 is 213736601601.

106106637312 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 6 + 637 + 3 + 12 = 666.

It is a super-2 number, since 2×106106637312² (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 not an unprimeable number, because it can be changed into a prime (106106637319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 991650763 + ... + 991650869.

Almost surely, 2^106106637312 is an apocalyptic number.

106106637312 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 106106637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178275686400).

106106637312 is an abundant number, since it is smaller than the sum of its proper divisors (250444735488).

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

106106637312 is a wasteful number, since it uses less digits than its factorization.

106106637312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 106106637312 in words is "one hundred six billion, one hundred six million, six hundred thirty-seven thousand, three hundred twelve".