106701529104 has 135 divisors (see below), whose sum is σ = 302269255743. Its totient is φ = 35137302336.

The previous prime is 106701529073. The next prime is 106701529111. The reversal of 106701529104 is 401925107601.

The square root of 106701529104 is 326652.

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

106701529104 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 2×106701529104² (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 26 ways as a sum of consecutive naturals, for example, 638931229 + ... + 638931395.

Almost surely, 2^106701529104 is an apocalyptic number.

106701529104 is the 326652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106701529104

106701529104 is an abundant number, since it is smaller than the sum of its proper divisors (195567726639).

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

106701529104 is an equidigital number, since it uses as much as digits as its factorization.

106701529104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 106701529104 by its sum of digits (36), we get a square (3841255047744 = 1959912²).

106701529104 divided by its sum of digits (36) gives a square (2963931364 = 54442²).

The spelling of 106701529104 in words is "one hundred six billion, seven hundred one million, five hundred twenty-nine thousand, one hundred four".