100761153400 has 192 divisors, whose sum is σ = 251196422400. Its totient is φ = 37477647360.

The previous prime is 100761153319. The next prime is 100761153401. The reversal of 100761153400 is 4351167001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100761153401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52670844 + ... + 52672756.

It is an arithmetic number, because the mean of its divisors is an integer number (1308314700).

Almost surely, 2^100761153400 is an apocalyptic number.

100761153400 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 100761153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125598211200).

100761153400 is an abundant number, since it is smaller than the sum of its proper divisors (150435269000).

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

100761153400 is a wasteful number, since it uses less digits than its factorization.

100761153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 100761153400 in words is "one hundred billion, seven hundred sixty-one million, one hundred fifty-three thousand, four hundred".