100450640177760 has 192 divisors, whose sum is σ = 319831204964544. Its totient is φ = 26498275737600.

The previous prime is 100450640177743. The next prime is 100450640177777. The reversal of 100450640177760 is 67771046054001.

It is an interprime number because it is at equal distance from previous prime (100450640177743) and next prime (100450640177777).

It is a super-2 number, since 2×100450640177760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99181120 + ... + 100188800.

It is an arithmetic number, because the mean of its divisors is an integer number (1665787525857).

Almost surely, 2^{100450640177760} is an apocalyptic number.

100450640177760 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 100450640177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159915602482272).

100450640177760 is an abundant number, since it is smaller than the sum of its proper divisors (219380564786784).

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

100450640177760 is a wasteful number, since it uses less digits than its factorization.

100450640177760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009937 (or 1009929 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 100450640177760 in words is "one hundred trillion, four hundred fifty billion, six hundred forty million, one hundred seventy-seven thousand, seven hundred sixty".