100352140 has 48 divisors (see below), whose sum is σ = 247367232. Its totient is φ = 33474816.

The previous prime is 100352117. The next prime is 100352171. The reversal of 100352140 is 41253001.

It is a super-3 number, since 3×100352140³ (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4507 + ... + 14866.

It is an arithmetic number, because the mean of its divisors is an integer number (5153484).

Almost surely, 2^100352140 is an apocalyptic number.

100352140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100352140 is an abundant number, since it is smaller than the sum of its proper divisors (147015092).

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

100352140 is a wasteful number, since it uses less digits than its factorization.

100352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426 (or 19424 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100352140 is about 10017.5915269091. The cubic root of 100352140 is about 464.7030747857.

The spelling of 100352140 in words is "one hundred million, three hundred fifty-two thousand, one hundred forty".