100601514006 has 128 divisors (see below), whose sum is σ = 250439869440. Its totient is φ = 26280640512.

The previous prime is 100601513977. The next prime is 100601514011. The reversal of 100601514006 is 600415106001.

It is a congruent number.

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, 19520326 + ... + 19525478.

It is an arithmetic number, because the mean of its divisors is an integer number (1956561480).

Almost surely, 2^100601514006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100601514006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125219934720).

100601514006 is an abundant number, since it is smaller than the sum of its proper divisors (149838355434).

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

100601514006 is a wasteful number, since it uses less digits than its factorization.

100601514006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958.

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 100601514006 in words is "one hundred billion, six hundred one million, five hundred fourteen thousand, six".