106416700 has 72 divisors (see below), whose sum is σ = 251303360. Its totient is φ = 38880000.

The previous prime is 106416697. The next prime is 106416763. The reversal of 106416700 is 7614601.

It is a happy number.

It is a super-2 number, since 2×106416700² = 22649028077780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 141325 + ... + 142075.

Almost surely, 2^106416700 is an apocalyptic number.

106416700 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 106416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125651680).

106416700 is an abundant number, since it is smaller than the sum of its proper divisors (144886660).

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

106416700 is a wasteful number, since it uses less digits than its factorization.

106416700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106416700 is about 10315.8470325999. The cubic root of 106416700 is about 473.8816905199.

The spelling of 106416700 in words is "one hundred six million, four hundred sixteen thousand, seven hundred".