10150413346100 has 72 divisors (see below), whose sum is σ = 22305659013120. Its totient is φ = 4008749402880.

The previous prime is 10150413346097. The next prime is 10150413346121. The reversal of 10150413346100 is 164331405101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12974669 + ... + 13734731.

Almost surely, 2^{10150413346100} is an apocalyptic number.

10150413346100 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 10150413346100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152829506560).

10150413346100 is an abundant number, since it is smaller than the sum of its proper divisors (12155245667020).

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

10150413346100 is a wasteful number, since it uses less digits than its factorization.

10150413346100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761769 (or 761762 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 10150413346100 in words is "ten trillion, one hundred fifty billion, four hundred thirteen million, three hundred forty-six thousand, one hundred".