100048805953600 has 567 divisors, whose sum is σ = 289577491863543. Its totient is φ = 33923155230720.

The previous prime is 100048805953571. The next prime is 100048805953651. The reversal of 100048805953600 is 6359508840001.

The square root of 100048805953600 is 10002440.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24585809894464 + 75462996059136 = 4958408^2 + 8686944^2 .

It is a super-2 number, since 2×100048805953600² (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 80 ways as a sum of consecutive naturals, for example, 389294964672 + ... + 389294964928.

Almost surely, 2^{100048805953600} is an apocalyptic number.

100048805953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100048805953600 is the 10002440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100048805953600

100048805953600 is an abundant number, since it is smaller than the sum of its proper divisors (189528685909943).

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

100048805953600 is an frugal number, since it uses more digits than its factorization.

100048805953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

100048805953600 divided by its sum of digits (49) gives a square (2041812366400 = 1428920²).

The spelling of 100048805953600 in words is "one hundred trillion, forty-eight billion, eight hundred five million, nine hundred fifty-three thousand, six hundred".