10103156246400 has 1152 divisors, whose sum is σ = 40996786037760. Its totient is φ = 2140961587200.

The previous prime is 10103156246383. The next prime is 10103156246453. The reversal of 10103156246400 is 464265130101.

It is a super-2 number, since 2×10103156246400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1140177970 + ... + 1140186830.

It is an arithmetic number, because the mean of its divisors is an integer number (35587487880).

Almost surely, 2^{10103156246400} is an apocalyptic number.

10103156246400 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 10103156246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498393018880).

10103156246400 is an abundant number, since it is smaller than the sum of its proper divisors (30893629791360).

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

10103156246400 is a wasteful number, since it uses less digits than its factorization.

10103156246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10103156246400 in words is "ten trillion, one hundred three billion, one hundred fifty-six million, two hundred forty-six thousand, four hundred".