106732890000 has 875 divisors, whose sum is σ = 426180543415. Its totient is φ = 25874640000.

The previous prime is 106732889993. The next prime is 106732890023. The reversal of 106732890000 is 98237601.

The square root of 106732890000 is 326700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8367858576 + 98365031424 = 91476^2 + 313632^2 .

It is a super-2 number, since 2×106732890000² (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 174 ways as a sum of consecutive naturals, for example, 9702989995 + ... + 9702990005.

Almost surely, 2^106732890000 is an apocalyptic number.

106732890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106732890000 is the 326700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106732890000

106732890000 is an abundant number, since it is smaller than the sum of its proper divisors (319447653415).

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

106732890000 is an frugal number, since it uses more digits than its factorization.

106732890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 106732890000 by its sum of digits (36), we get a square (3842384040000 = 1960200²).

106732890000 divided by its sum of digits (36) gives a square (2964802500 = 54450²).

The spelling of 106732890000 in words is "one hundred six billion, seven hundred thirty-two million, eight hundred ninety thousand".