100998072 has 192 divisors, whose sum is σ = 336960000. Its totient is φ = 26687232.

The previous prime is 100998067. The next prime is 100998089. The reversal of 100998072 is 270899001.

It is a happy number.

It is a super-2 number, since 2×100998072² = 20401221095434368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507429 + ... + 507627.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^100998072 is an apocalyptic number.

100998072 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 100998072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480000).

100998072 is an abundant number, since it is smaller than the sum of its proper divisors (235961928).

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

100998072 is a wasteful number, since it uses less digits than its factorization.

100998072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 100998072 is about 10049.7796990780. The cubic root of 100998072 is about 465.6979874895.

The spelling of 100998072 in words is "one hundred million, nine hundred ninety-eight thousand, seventy-two".