106883400 has 192 divisors, whose sum is σ = 363726720. Its totient is φ = 25804800.

The previous prime is 106883363. The next prime is 106883401. The reversal of 106883400 is 4388601.

It is a happy number.

It is a super-2 number, since 2×106883400² = 22848122391120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106883401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553704 + ... + 553896.

It is an arithmetic number, because the mean of its divisors is an integer number (1894410).

Almost surely, 2^106883400 is an apocalyptic number.

106883400 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 106883400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181863360).

106883400 is an abundant number, since it is smaller than the sum of its proper divisors (256843320).

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

106883400 is a wasteful number, since it uses less digits than its factorization.

106883400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106883400 is about 10338.4428227853. The cubic root of 106883400 is about 474.5734305189.

The spelling of 106883400 in words is "one hundred six million, eight hundred eighty-three thousand, four hundred".