106943250432 has 256 divisors, whose sum is σ = 310038220800. Its totient is φ = 32664453120.

The previous prime is 106943250419. The next prime is 106943250433. The reversal of 106943250432 is 234052349601.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×106943250432² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106943250433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57900133 + ... + 57901979.

It is an arithmetic number, because the mean of its divisors is an integer number (1211086800).

Almost surely, 2^106943250432 is an apocalyptic number.

106943250432 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 106943250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155019110400).

106943250432 is an abundant number, since it is smaller than the sum of its proper divisors (203094970368).

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

106943250432 is an equidigital number, since it uses as much as digits as its factorization.

106943250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 106943250432 in words is "one hundred six billion, nine hundred forty-three million, two hundred fifty thousand, four hundred thirty-two".