100400670 has 48 divisors (see below), whose sum is σ = 262828800. Its totient is φ = 26590272.

The previous prime is 100400653. The next prime is 100400687. The reversal of 100400670 is 76004001.

It is an interprime number because it is at equal distance from previous prime (100400653) and next prime (100400687).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9667 + ... + 17153.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2^100400670 is an apocalyptic number.

100400670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100400670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131414400).

100400670 is an abundant number, since it is smaller than the sum of its proper divisors (162428130).

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

100400670 is a wasteful number, since it uses less digits than its factorization.

100400670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100400670 is about 10020.0134730448. The cubic root of 100400670 is about 464.7779723940. Note that the first 3 decimals are identical.

Adding to 100400670 its reverse (76004001), we get a palindrome (176404671).

The spelling of 100400670 in words is "one hundred million, four hundred thousand, six hundred seventy".