101002896 has 160 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 31933440.

The previous prime is 101002861. The next prime is 101002897. The reversal of 101002896 is 698200101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101002897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134820 + ... + 1134908.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^101002896 is an apocalyptic number.

101002896 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 101002896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

101002896 is an abundant number, since it is smaller than the sum of its proper divisors (204334704).

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

101002896 is a wasteful number, since it uses less digits than its factorization.

101002896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101002896 is about 10050.0197014732. The cubic root of 101002896 is about 465.7054017938.

Adding to 101002896 its reverse (698200101), we get a palindrome (799202997).

It can be divided in two parts, 10100 and 2896, that added together give a square (12996 = 114²).

The spelling of 101002896 in words is "one hundred one million, two thousand, eight hundred ninety-six".