101415400 has 24 divisors (see below), whose sum is σ = 235791270. Its totient is φ = 40566080.

The previous prime is 101415389. The next prime is 101415449. The reversal of 101415400 is 4514101.

It can be written as a sum of positive squares in 3 ways, for example, as 85045284 + 16370116 = 9222^2 + 4046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253339 + ... + 253738.

Almost surely, 2^101415400 is an apocalyptic number.

101415400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101415400 is an abundant number, since it is smaller than the sum of its proper divisors (134375870).

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

101415400 is a wasteful number, since it uses less digits than its factorization.

101415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507093 (or 507084 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 101415400 is about 10070.5213370510. The cubic root of 101415400 is about 466.3385335020.

Adding to 101415400 its reverse (4514101), we get a palindrome (105929501).

The spelling of 101415400 in words is "one hundred one million, four hundred fifteen thousand, four hundred".