100051956 has 48 divisors (see below), whose sum is σ = 263663680. Its totient is φ = 32801760.

The previous prime is 100051951. The next prime is 100051957. The reversal of 100051956 is 659150001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100051951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 14181.

Almost surely, 2^100051956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100051956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131831840).

100051956 is an abundant number, since it is smaller than the sum of its proper divisors (163611724).

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

100051956 is a wasteful number, since it uses less digits than its factorization.

100051956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15261 (or 15253 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 100051956 is about 10002.5974626594. The cubic root of 100051956 is about 464.2392555733.

The spelling of 100051956 in words is "one hundred million, fifty-one thousand, nine hundred fifty-six".