100014806103432 has 256 divisors, whose sum is σ = 285583753728000. Its totient is φ = 28892494540800.

The previous prime is 100014806103427. The next prime is 100014806103493. The reversal of 100014806103432 is 234301608410001.

It is a super-2 number, since 2×100014806103432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 100014806103393 and 100014806103402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803794957 + ... + 2803830627.

It is an arithmetic number, because the mean of its divisors is an integer number (1115561538000).

Almost surely, 2^{100014806103432} is an apocalyptic number.

100014806103432 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 100014806103432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142791876864000).

100014806103432 is an abundant number, since it is smaller than the sum of its proper divisors (185568947624568).

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

100014806103432 is a wasteful number, since it uses less digits than its factorization.

100014806103432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37252 (or 37248 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 100014806103432 in words is "one hundred trillion, fourteen billion, eight hundred six million, one hundred three thousand, four hundred thirty-two".