106988300832 has 192 divisors, whose sum is σ = 329162400000. Its totient is φ = 29789061120.

The previous prime is 106988300813. The next prime is 106988300833. The reversal of 106988300832 is 238003889601.

It is a super-2 number, since 2×106988300832² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106988300833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34410894 + ... + 34414002.

It is an arithmetic number, because the mean of its divisors is an integer number (1714387500).

Almost surely, 2^106988300832 is an apocalyptic number.

106988300832 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 106988300832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164581200000).

106988300832 is an abundant number, since it is smaller than the sum of its proper divisors (222174099168).

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

106988300832 is a wasteful number, since it uses less digits than its factorization.

106988300832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 106988300832 in words is "one hundred six billion, nine hundred eighty-eight million, three hundred thousand, eight hundred thirty-two".