100851072 has 128 divisors (see below), whose sum is σ = 324311040. Its totient is φ = 27107328.

The previous prime is 100851071. The next prime is 100851073. The reversal of 100851072 is 270158001.

It is an interprime number because it is at equal distance from previous prime (100851071) and next prime (100851073).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100851071) 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, 44593 + ... + 46799.

It is an arithmetic number, because the mean of its divisors is an integer number (2533680).

Almost surely, 2^100851072 is an apocalyptic number.

100851072 is a gapful number since it is divisible by the number (12) 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 100851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162155520).

100851072 is an abundant number, since it is smaller than the sum of its proper divisors (223459968).

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

100851072 is a wasteful number, since it uses less digits than its factorization.

100851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 100851072 is about 10042.4634428013. The cubic root of 100851072 is about 465.4719407857.

The spelling of 100851072 in words is "one hundred million, eight hundred fifty-one thousand, seventy-two".