106787100 has 144 divisors (see below), whose sum is σ = 356254976. Its totient is φ = 24192000.

The previous prime is 106787041. The next prime is 106787111. The reversal of 106787100 is 1787601.

It is a super-2 number, since 2×106787100² = 22806969452820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 442980 + ... + 443220.

Almost surely, 2^106787100 is an apocalyptic number.

106787100 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 106787100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178127488).

106787100 is an abundant number, since it is smaller than the sum of its proper divisors (249467876).

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

106787100 is a wasteful number, since it uses less digits than its factorization.

106787100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 106787100 is about 10333.7843987573. The cubic root of 106787100 is about 474.4308603486.

The spelling of 106787100 in words is "one hundred six million, seven hundred eighty-seven thousand, one hundred".