106667400 has 192 divisors, whose sum is σ = 383011200. Its totient is φ = 24053760.

The previous prime is 106667371. The next prime is 106667441. The reversal of 106667400 is 4766601.

It is a super-2 number, since 2×106667400² = 22755868445520000, which contains 22 as substring.

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

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, 457684 + ... + 457916.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 2^106667400 is an apocalyptic number.

106667400 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 106667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600).

106667400 is an abundant number, since it is smaller than the sum of its proper divisors (276343800).

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

106667400 is a wasteful number, since it uses less digits than its factorization.

106667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 106667400 is about 10327.9910921728. The cubic root of 106667400 is about 474.2535274247.

The spelling of 106667400 in words is "one hundred six million, six hundred sixty-seven thousand, four hundred".