100387940 has 24 divisors (see below), whose sum is σ = 212906232. Its totient is φ = 39756800.

The previous prime is 100387927. The next prime is 100387943. The reversal of 100387940 is 49783001.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 93586276 = 2608^2 + 9674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100387897 and 100387906.

It is not an unprimeable number, because it can be changed into a prime (100387943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22829 + ... + 26868.

It is an arithmetic number, because the mean of its divisors is an integer number (8871093).

Almost surely, 2^100387940 is an apocalyptic number.

100387940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100387940 is an abundant number, since it is smaller than the sum of its proper divisors (112518292).

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

100387940 is a wasteful number, since it uses less digits than its factorization.

100387940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49807 (or 49805 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 100387940 is about 10019.3782242213. The cubic root of 100387940 is about 464.7583281902.

The spelling of 100387940 in words is "one hundred million, three hundred eighty-seven thousand, nine hundred forty".