101557400 has 144 divisors (see below), whose sum is σ = 282225240. Its totient is φ = 33868800.

The previous prime is 101557399. The next prime is 101557403. The reversal of 101557400 is 4755101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101557403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 421280 + ... + 421520.

Almost surely, 2^101557400 is an apocalyptic number.

101557400 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 101557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141112620).

101557400 is an abundant number, since it is smaller than the sum of its proper divisors (180667840).

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

101557400 is a wasteful number, since it uses less digits than its factorization.

101557400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 101557400 is about 10077.5691513380. The cubic root of 101557400 is about 466.5560849096.

The spelling of 101557400 in words is "one hundred one million, five hundred fifty-seven thousand, four hundred".