100420902062832 has 240 divisors, whose sum is σ = 286142046577184. Its totient is φ = 30160004659200.

The previous prime is 100420902062821. The next prime is 100420902062857. The reversal of 100420902062832 is 238260209024001.

It is a super-2 number, since 2×100420902062832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653139438 + ... + 653293170.

Almost surely, 2^{100420902062832} is an apocalyptic number.

100420902062832 is a gapful number since it is divisible by the number (12) 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 100420902062832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143071023288592).

100420902062832 is an abundant number, since it is smaller than the sum of its proper divisors (185721144514352).

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

100420902062832 is a wasteful number, since it uses less digits than its factorization.

100420902062832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154080 (or 153943 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 100420902062832 in words is "one hundred trillion, four hundred twenty billion, nine hundred two million, sixty-two thousand, eight hundred thirty-two".