106970752 has 64 divisors (see below), whose sum is σ = 244995840. Its totient is φ = 45573120.

The previous prime is 106970729. The next prime is 106970761. The reversal of 106970752 is 257079601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106970752² = 22885483566891008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247977 + ... + 248407.

It is an arithmetic number, because the mean of its divisors is an integer number (3828060).

Almost surely, 2^106970752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122497920).

106970752 is an abundant number, since it is smaller than the sum of its proper divisors (138025088).

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

106970752 is an equidigital number, since it uses as much as digits as its factorization.

106970752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 106970752 is about 10342.6665807228. Note that the first 3 decimals coincide. The cubic root of 106970752 is about 474.7026793084.

The spelling of 106970752 in words is "one hundred six million, nine hundred seventy thousand, seven hundred fifty-two".