101603256287400 has 1728 divisors, whose sum is σ = 431985529728000. Its totient is φ = 21882186547200.

The previous prime is 101603256287383. The next prime is 101603256287413. The reversal of 101603256287400 is 4782652306101.

101603256287400 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 3 + 2 + 562 + 87 + 4 + 0 + 0 = 666.

101603256287400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18244431816 + ... + 18244437384.

It is an arithmetic number, because the mean of its divisors is an integer number (249991626000).

Almost surely, 2^{101603256287400} is an apocalyptic number.

101603256287400 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 101603256287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215992764864000).

101603256287400 is an abundant number, since it is smaller than the sum of its proper divisors (330382273440600).

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

101603256287400 is a wasteful number, since it uses less digits than its factorization.

101603256287400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 101603256287400 in words is "one hundred one trillion, six hundred three billion, two hundred fifty-six million, two hundred eighty-seven thousand, four hundred".