100510890862144 has 189 divisors, whose sum is σ = 246488929805889. Its totient is φ = 40538358282240.

The previous prime is 100510890862091. The next prime is 100510890862153. The reversal of 100510890862144 is 441268098015001.

The square root of 100510890862144 is 10025512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78252423681600 + 22258467180544 = 8846040^2 + 4717888^2 .

It is a super-2 number, since 2×100510890862144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9544282159 + ... + 9544292689.

Almost surely, 2^{100510890862144} is an apocalyptic number.

100510890862144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100510890862144 is the 10025512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100510890862144

100510890862144 is an abundant number, since it is smaller than the sum of its proper divisors (145978038943745).

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

100510890862144 is an frugal number, since it uses more digits than its factorization.

100510890862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21122 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

100510890862144 divided by its sum of digits (49) gives a square (2051242670656 = 1432216²).

The spelling of 100510890862144 in words is "one hundred trillion, five hundred ten billion, eight hundred ninety million, eight hundred sixty-two thousand, one hundred forty-four".