100234605414000 has 160 divisors (see below), whose sum is σ = 323233044975360. Its totient is φ = 26722885920000.

The previous prime is 100234605413993. The next prime is 100234605414061. The reversal of 100234605414000 is 414506432001.

It is a super-2 number, since 2×100234605414000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23334175 + ... + 27293825.

It is an arithmetic number, because the mean of its divisors is an integer number (2020206531096).

Almost surely, 2^{100234605414000} is an apocalyptic number.

100234605414000 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 100234605414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616522487680).

100234605414000 is an abundant number, since it is smaller than the sum of its proper divisors (222998439561360).

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

100234605414000 is a wasteful number, since it uses less digits than its factorization.

100234605414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963896 (or 3963880 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 100234605414000 in words is "one hundred trillion, two hundred thirty-four billion, six hundred five million, four hundred fourteen thousand".