101303136 has 360 divisors, whose sum is σ = 364989240. Its totient is φ = 27371520.

The previous prime is 101303131. The next prime is 101303159. The reversal of 101303136 is 631303101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303131) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5331735 + ... + 5331753.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 2^101303136 is an apocalyptic number.

101303136 is a gapful number since it is divisible by the number (16) 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 101303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

101303136 is an abundant number, since it is smaller than the sum of its proper divisors (263686104).

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

101303136 is a wasteful number, since it uses less digits than its factorization.

101303136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 101303136 is about 10064.9459014940. The cubic root of 101303136 is about 466.1663954152.

Adding to 101303136 its reverse (631303101), we get a palindrome (732606237).

The spelling of 101303136 in words is "one hundred one million, three hundred three thousand, one hundred thirty-six".