101416700 has 72 divisors (see below), whose sum is σ = 274399104. Its totient is φ = 31608000.

The previous prime is 101416697. The next prime is 101416703. The reversal of 101416700 is 7614101.

It is an interprime number because it is at equal distance from previous prime (101416697) and next prime (101416703).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101416703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1115 + ... + 14285.

Almost surely, 2^101416700 is an apocalyptic number.

101416700 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 101416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137199552).

101416700 is an abundant number, since it is smaller than the sum of its proper divisors (172982404).

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

101416700 is a wasteful number, since it uses less digits than its factorization.

101416700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13203 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 101416700 is about 10070.5858816655. The cubic root of 101416700 is about 466.3405260906.

The spelling of 101416700 in words is "one hundred one million, four hundred sixteen thousand, seven hundred".