106400000 has 216 divisors, whose sum is σ = 319354560. Its totient is φ = 34560000.

The previous prime is 106399987. The next prime is 106400071. The reversal of 106400000 is 4601.

It is a super-2 number, since 2×106400000² = 22641920000000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5599991 + ... + 5600009.

Almost surely, 2^106400000 is an apocalyptic number.

106400000 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 106400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

106400000 is an abundant number, since it is smaller than the sum of its proper divisors (212954560).

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

106400000 is an frugal number, since it uses more digits than its factorization.

106400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106400000 is about 10315.0375665821. The cubic root of 106400000 is about 473.8569004314.

Adding to 106400000 its reverse (4601), we get a palindrome (106404601).

It can be divided in two parts, 10 and 6400000, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 106400000 in words is "one hundred six million, four hundred thousand".