106932000 has 384 divisors, whose sum is σ = 427714560. Its totient is φ = 22809600.

The previous prime is 106931999. The next prime is 106932017. The reversal of 106932000 is 239601.

It is a super-2 number, since 2×106932000² = 22868905248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595967 + ... + 1596033.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^106932000 is an apocalyptic number.

106932000 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 106932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

106932000 is an abundant number, since it is smaller than the sum of its proper divisors (320782560).

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

106932000 is a wasteful number, since it uses less digits than its factorization.

106932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106932000 is about 10340.7930063414. The cubic root of 106932000 is about 474.6453493071.

The spelling of 106932000 in words is "one hundred six million, nine hundred thirty-two thousand".