101969400 has 192 divisors, whose sum is σ = 360914400. Its totient is φ = 23592960.

The previous prime is 101969389. The next prime is 101969411. The reversal of 101969400 is 4969101.

It is an interprime number because it is at equal distance from previous prime (101969389) and next prime (101969411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132216 + ... + 132984.

Almost surely, 2^101969400 is an apocalyptic number.

101969400 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 101969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457200).

101969400 is an abundant number, since it is smaller than the sum of its proper divisors (258945000).

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

101969400 is a wasteful number, since it uses less digits than its factorization.

101969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 101969400 is about 10097.9898989848. The cubic root of 101969400 is about 467.1861448751.

The spelling of 101969400 in words is "one hundred one million, nine hundred sixty-nine thousand, four hundred".