101382400 has 216 divisors, whose sum is σ = 300091904. Its totient is φ = 33177600.

The previous prime is 101382397. The next prime is 101382403. The reversal of 101382400 is 4283101.

101382400 = T₂₀₀ + T₂₀₁ + ... + T₈₅₀.

It is an interprime number because it is at equal distance from previous prime (101382397) and next prime (101382403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101382403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388764 + ... + 1388836.

Almost surely, 2^101382400 is an apocalyptic number.

101382400 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 101382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150045952).

101382400 is an abundant number, since it is smaller than the sum of its proper divisors (198709504).

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

101382400 is an equidigital number, since it uses as much as digits as its factorization.

101382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101382400 is about 10068.8827582806. The cubic root of 101382400 is about 466.2879467039.

It can be divided in two parts, 10 and 1382400, that multiplied together give a cube (13824000 = 240³).

The spelling of 101382400 in words is "one hundred one million, three hundred eighty-two thousand, four hundred".