101386890 has 96 divisors (see below), whose sum is σ = 298299456. Its totient is φ = 24572160.

The previous prime is 101386889. The next prime is 101386903. The reversal of 101386890 is 98683101.

It is a congruent number.

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, 24834 + ... + 28626.

It is an arithmetic number, because the mean of its divisors is an integer number (3107286).

Almost surely, 2^101386890 is an apocalyptic number.

101386890 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 101386890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149728).

101386890 is an abundant number, since it is smaller than the sum of its proper divisors (196912566).

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

101386890 is a wasteful number, since it uses less digits than its factorization.

101386890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101386890 is about 10069.1057199733. The cubic root of 101386890 is about 466.2948302195.

The spelling of 101386890 in words is "one hundred one million, three hundred eighty-six thousand, eight hundred ninety".