106377000 has 128 divisors (see below), whose sum is σ = 338083200. Its totient is φ = 27840000.

The previous prime is 106376993. The next prime is 106377013. The reversal of 106377000 is 773601.

It is a super-2 number, since 2×106377000² = 22632132258000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176700 + ... + 177300.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 2^106377000 is an apocalyptic number.

106377000 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 106377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041600).

106377000 is an abundant number, since it is smaller than the sum of its proper divisors (231706200).

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

106377000 is a wasteful number, since it uses less digits than its factorization.

106377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 106377000 is about 10313.9226291455. The cubic root of 106377000 is about 473.8227541465.

The spelling of 106377000 in words is "one hundred six million, three hundred seventy-seven thousand".