106912573488 has 320 divisors, whose sum is σ = 371652403200. Its totient is φ = 28744761600.

The previous prime is 106912573477. The next prime is 106912573489. The reversal of 106912573488 is 884375219601.

106912573488 is a `hidden beast` number, since 1 + 0 + 6 + 91 + 2 + 5 + 73 + 488 = 666.

106912573488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106912573488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106912573489) 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, 8669695 + ... + 8682017.

It is an arithmetic number, because the mean of its divisors is an integer number (1161413760).

It is a 1-persistent number, because it is pandigital, but 2⋅106912573488 = 213825146976 is not.

Almost surely, 2^106912573488 is an apocalyptic number.

106912573488 is a gapful number since it is divisible by the number (18) 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 106912573488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185826201600).

106912573488 is an abundant number, since it is smaller than the sum of its proper divisors (264739829712).

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

106912573488 is a wasteful number, since it uses less digits than its factorization.

106912573488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106912573488 in words is "one hundred six billion, nine hundred twelve million, five hundred seventy-three thousand, four hundred eighty-eight".