101501400 has 384 divisors, whose sum is σ = 424972800. Its totient is φ = 19468800.

The previous prime is 101501399. The next prime is 101501423. The reversal of 101501400 is 4105101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7807794 + ... + 7807806.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^101501400 is an apocalyptic number.

101501400 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 101501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

101501400 is an abundant number, since it is smaller than the sum of its proper divisors (323471400).

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

101501400 is a wasteful number, since it uses less digits than its factorization.

101501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101501400 is about 10074.7903203987. The cubic root of 101501400 is about 466.4703142207.

Adding to 101501400 its reverse (4105101), we get a palindrome (105606501).

It can be divided in two parts, 101 and 501400, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 101501400 in words is "one hundred one million, five hundred one thousand, four hundred".