101250408 has 64 divisors (see below), whose sum is σ = 295464960. Its totient is φ = 28310976.

The previous prime is 101250407. The next prime is 101250421. The reversal of 101250408 is 804052101.

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

It is not an unprimeable number, because it can be changed into a prime (101250407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 14307.

It is an arithmetic number, because the mean of its divisors is an integer number (4616640).

Almost surely, 2^101250408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101250408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147732480).

101250408 is an abundant number, since it is smaller than the sum of its proper divisors (194214552).

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

101250408 is a wasteful number, since it uses less digits than its factorization.

101250408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 101250408 is about 10062.3261724116. The cubic root of 101250408 is about 466.0855019420.

The spelling of 101250408 in words is "one hundred one million, two hundred fifty thousand, four hundred eight".