106312640 has 112 divisors (see below), whose sum is σ = 298850304. Its totient is φ = 35251200.

The previous prime is 106312639. The next prime is 106312651. The reversal of 106312640 is 46213601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106312640² = 22604754847539200, which contains 22 as substring.

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, 68675 + ... + 70205.

Almost surely, 2^106312640 is an apocalyptic number.

106312640 is a gapful number since it is divisible by the number (10) 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 106312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149425152).

106312640 is an abundant number, since it is smaller than the sum of its proper divisors (192537664).

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

106312640 is a wasteful number, since it uses less digits than its factorization.

106312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 106312640 is about 10310.8021026494. The cubic root of 106312640 is about 473.7271777701.

The spelling of 106312640 in words is "one hundred six million, three hundred twelve thousand, six hundred forty".