100077440 has 32 divisors (see below), whose sum is σ = 239249160. Its totient is φ = 40030720.

The previous prime is 100077401. The next prime is 100077443. The reversal of 100077440 is 44770001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100077443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77546 + ... + 78825.

Almost surely, 2^100077440 is an apocalyptic number.

100077440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100077440 is an abundant number, since it is smaller than the sum of its proper divisors (139171720).

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

100077440 is an equidigital number, since it uses as much as digits as its factorization.

100077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156390 (or 156378 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 100077440 is about 10003.8712506709. The cubic root of 100077440 is about 464.2786673261.

It can be divided in two parts, 1000 and 77440, that multiplied together give a square (77440000 = 8800²).

The spelling of 100077440 in words is "one hundred million, seventy-seven thousand, four hundred forty".