106512720 has 80 divisors (see below), whose sum is σ = 337900992. Its totient is φ = 27740160.

The previous prime is 106512673. The next prime is 106512739. The reversal of 106512720 is 27215601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106512720² = 22689919043596800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 15480.

Almost surely, 2^106512720 is an apocalyptic number.

106512720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10320×10321.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168950496).

106512720 is an abundant number, since it is smaller than the sum of its proper divisors (231388272).

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

106512720 is a wasteful number, since it uses less digits than its factorization.

106512720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106512720 is about 10320.4999878882. The cubic root of 106512720 is about 474.0241758041.

The spelling of 106512720 in words is "one hundred six million, five hundred twelve thousand, seven hundred twenty".