100357920 has 192 divisors, whose sum is σ = 378483840. Its totient is φ = 24689664.

The previous prime is 100357909. The next prime is 100357927. The reversal of 100357920 is 29753001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100357927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55267 + ... + 57053.

It is an arithmetic number, because the mean of its divisors is an integer number (1971270).

Almost surely, 2^100357920 is an apocalyptic number.

100357920 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 100357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189241920).

100357920 is an abundant number, since it is smaller than the sum of its proper divisors (278125920).

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

100357920 is a wasteful number, since it uses less digits than its factorization.

100357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 100357920 is about 10017.8800152527. The cubic root of 100357920 is about 464.7119964762.

It can be divided in two parts, 10035 and 7920, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 100357920 in words is "one hundred million, three hundred fifty-seven thousand, nine hundred twenty".