101672100 has 108 divisors (see below), whose sum is σ = 321018516. Its totient is φ = 26914560.

The previous prime is 101672069. The next prime is 101672117. The reversal of 101672100 is 1276101.

It can be written as a sum of positive squares in 6 ways, for example, as 186624 + 101485476 = 432^2 + 10074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155374 + ... + 156026.

Almost surely, 2^101672100 is an apocalyptic number.

101672100 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 101672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160509258).

101672100 is an abundant number, since it is smaller than the sum of its proper divisors (219346416).

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

101672100 is a wasteful number, since it uses less digits than its factorization.

101672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101672100 is about 10083.2584019254. The cubic root of 101672100 is about 466.7316632826.

The spelling of 101672100 in words is "one hundred one million, six hundred seventy-two thousand, one hundred".