100851772 has 48 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 40744512.

The previous prime is 100851767. The next prime is 100851797. The reversal of 100851772 is 277158001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155553 + ... + 156199.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^100851772 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 100851772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

100851772 is an abundant number, since it is smaller than the sum of its proper divisors (112521668).

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

100851772 is a wasteful number, since it uses less digits than its factorization.

100851772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 100851772 is about 10042.4982947472. The cubic root of 100851772 is about 465.4730177189.

It can be divided in two parts, 1008 and 51772, that multiplied together give a square (52186176 = 7224²).

The spelling of 100851772 in words is "one hundred million, eight hundred fifty-one thousand, seven hundred seventy-two".