100057440 has 192 divisors, whose sum is σ = 365105664. Its totient is φ = 22560768.

The previous prime is 100057421. The next prime is 100057459. The reversal of 100057440 is 44750001.

It is an interprime number because it is at equal distance from previous prime (100057421) and next prime (100057459).

It is a super-2 number, since 2×100057440² = 20022982598707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325767 + ... + 326073.

It is an arithmetic number, because the mean of its divisors is an integer number (1901592).

Almost surely, 2^100057440 is an apocalyptic number.

100057440 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 100057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182552832).

100057440 is an abundant number, since it is smaller than the sum of its proper divisors (265048224).

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

100057440 is a wasteful number, since it uses less digits than its factorization.

100057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 100057440 is about 10002.8715876992. The cubic root of 100057440 is about 464.2477373051.

The spelling of 100057440 in words is "one hundred million, fifty-seven thousand, four hundred forty".