101403900 has 252 divisors, whose sum is σ = 358617672. Its totient is φ = 24727680.

The previous prime is 101403889. The next prime is 101403919. The reversal of 101403900 is 9304101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947647 + ... + 947753.

It is an arithmetic number, because the mean of its divisors is an integer number (1423086).

Almost surely, 2^101403900 is an apocalyptic number.

101403900 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 101403900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179308836).

101403900 is an abundant number, since it is smaller than the sum of its proper divisors (257213772).

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

101403900 is a wasteful number, since it uses less digits than its factorization.

101403900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101403900 is about 10069.9503474446. The cubic root of 101403900 is about 466.3209060153.

The spelling of 101403900 in words is "one hundred one million, four hundred three thousand, nine hundred".